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The time for a clay layer to achieve 85% consolidation is 10 years. If the layer was half as thick, 10 times more permeable and 4 times more compressible then the time that would be required to achieve the same degree of sonsolidation is
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- 1 year
- 5 years
- 12 years
- 16 years
Correct Option: A
Co-eff. of consolidation, Cv
Cv = | ⇒ Cv ∝ | |||
mv.γw | mv |
Also, Time factor,
Tv = | d2 |
∴ Cv ∝ | t |
∴ = | ∝ | |||
mv | t |
∴ t ∝ | k |
∴ | = | 2 | ||||||||||
t1 | d1 | k2 | mv1 |
given, d2 = 0.5 d1
kz = 10 k1
mv2 = v1 4m
t1 = 10 years
∴ = | = (0.5)2 × | × 4 | ||
10 | 10 |
∴ t2 = | × 10 = 1 Year | 10 |